# Copyright (c) 2019-present, Facebook, Inc.
# All rights reserved.
#
# This source code is licensed under the license found in the
# LICENSE file in the root directory of this source tree.
#
def f_gold ( m ) :
    for i in range ( 0 , len ( m ) ) :
        sm = 0
        for j in range ( 0 , len ( m [ i ] ) ) :
            sm = sm + m [ i ] [ j ]
        if ( sm != 1 ) :
            return False
    return True


#TOFILL

if __name__ == '__main__':
    param = [
    ([[ 0, 0, 1 ], [ 0.5, 0, 0.5 ], [ 1, 0, 0 ]],),
    ([[ 0, 0, 1 ], [ 0.5, 0, 0.51 ], [ 1, 0, 0 ]],),
    ([[ 0, 0, 0.9 ], [ 1, 0, 0.1 ], [ 0, 1, 0 ]],),
    ([[]],),
    ([[ 0, 1 ], [ 0.9, 0.1], [ 0, 1]],),
    ([[ 1 ]],),
    ([[1800.5208165864472, 5129.668497755772, 4091.578454432755, 9520.788540775387, 9012.789443327169, 5479.787317916788, 4846.101760095075, 9310.645104102381, 6862.485564868333, 6537.037513320974, 7943.016882755804], [8081.404685413337, 2775.350842660207, 3624.18060172129, 320.5505410412923, 896.5298358859519, 9778.851990348234, 8093.842945978867, 5513.194168934705, 3238.213662532161, 2068.183825530009, 8922.404213665432, 2564.415908565606, 9541.992473376376, 3500.695185589028, 7425.292941600525, 1035.1769706476443, 1993.3236514377372, 7516.6428866994665, 7036.757321520528, 4521.722941224576, 6046.954992856951, 1480.947630193744, 2468.314968942801, 6721.875264461492, 729.3668691453537, 7013.1702771055125, 620.7860776027774, 4073.8164568995426, 6637.935131989998, 4970.880129282128, 8491.291538095455, 6017.257595728452, 8758.321951108288, 7450.774705441449, 2430.104778991052, 7653.421788466134, 9867.846002930755, 9025.832543077806, 3130.4709292949738], [4092.6187809701687, 3682.191052666517, 6210.3251142981435, 7559.705041866003, 8083.3992753238235, 7027.888848387021, 322.813354455147, 6396.660665360345], [6712.595190644637, 3351.7854488023168, 3596.9007070939974, 7383.906373292954, 6925.055360334225, 6564.096130017967, 9810.727474966703, 1812.3875023392943, 7582.083184537618, 6792.011378435494, 6737.106729773401, 5165.155358877282, 7694.499267616087, 3564.5292718018964, 8125.369501443796, 7515.428339325206, 3373.5371602639975, 8145.31715886053, 6297.6183870619725, 489.2402023933884, 9562.673985208492, 6553.732669130852, 7196.924911915597, 9239.272829887721, 5855.3831715786055, 9570.600140348652, 6684.3117497126605, 9977.065074407292, 9210.767097725591, 3456.1818868411087], [4472.26489764256, 7298.311171623871, 6184.798212074516, 5645.069795561799, 9113.123076453292, 5537.618956455394, 2142.794697171854, 8370.190271064876, 5972.2448507765475, 6299.8293468991715, 7388.052824286836, 735.079089195314, 4216.330577355761, 928.9766117855969, 1935.1190718709943, 5606.352487792576, 9764.404560908582, 5301.250390178857, 2250.0545430370357, 8159.5544835139635, 1327.0903534461743, 7505.6753057440255, 9918.714694238013, 8827.139931812451, 1859.1883736005789, 8018.161213209266, 7984.370920859778, 288.30827861459517, 1461.0614788611754, 2690.173572057434, 8427.499467578928, 4724.15901701013, 4457.387382560547, 9993.904502656509], [2842.9663139830186, 8957.4584498927, 8686.31672019927, 4832.99654565389], [1477.392902127036, 7189.591229360169, 8822.61208105902, 4851.411807703794, 9600.384550545641, 5836.4581179869165, 2366.7307632417446, 9442.85367113618, 9848.096373489492, 3805.2945900367695, 2741.21016804169, 7787.421240650287, 5163.029236960128, 3839.164193518556, 8999.926058466983, 5787.032859796697, 7669.921381103829, 7893.275228211627, 1051.182564195985, 7017.888839448166, 5215.123486606644, 5208.568127672256, 1134.2054935790945, 7573.233029924398, 6060.282198006302, 1395.7596136070006, 3653.7960603925126, 244.94506756705502, 3594.7042035479526, 6272.774300983842, 4043.3735550683537, 2274.103544548338, 4022.0181987353485, 9109.556771757481, 4286.57480001852, 6721.662297331347, 6105.99828625709, 8758.359235513371, 1658.875171187041, 2024.5696201552444], [5912.554579767912, 5341.080476025451, 4305.59603125092, 9800.436262778925, 8097.160534980595, 493.9680676037761, 4047.191664109233, 6070.216899309564, 5697.682730828276, 9448.806800500452, 7698.114392101278, 7020.216498152797, 7091.797827878821, 3273.5516687760546, 3685.5162670409804, 2210.2161977720316, 7182.207804931318, 3265.217158812098, 1798.8408452362914, 9318.266496779846, 2859.486203159565, 4314.215039310549, 8313.026936365693], [8911.686558511605, 5660.199086800985, 6475.525180381277, 4040.3172648744144, 5708.611042449874, 9524.099373256367, 7030.627120796817, 783.4145757917787, 9713.798324426925, 5284.149579386235, 986.5900188717991, 2567.146044707662, 2034.3874533234496, 7853.582414512236, 5610.18808118777, 9372.679297083534, 1227.8195252860025, 8558.328099907549, 5800.797131024546, 1345.9810037159548, 8059.092655056248, 1007.7145561634637, 1867.8280914974055, 8073.000957658564]],),
    ([[9784.847472945596, 1467.4849690692215, 326.01056399299114, 3577.1820356491303, 3413.7335834614014, 5621.398199278954, 75.70726246875714, 3072.65108747655, 7278.353400799695, 4703.166022097605, 9423.746532838595, 9651.338090892916, 7908.363875282913, 2112.03821823538, 1975.7721197648048, 1044.0925741602891, 8579.267990348524, 3350.769942053501, 5299.788699272214, 7928.710248719408, 8396.62857032498, 3836.1908586465343, 8012.249410750618, 7828.91833852811, 1917.7798073113083, 5120.386576342888, 3678.786128839827, 4600.911873999521, 9497.461077450645, 3000.203085004004, 7858.544769795873, 8325.214884003173, 2451.061402910233, 647.2264467569499, 7282.170138249182, 2285.3064693716783, 5922.10840378214, 6916.751327338277, 7063.312743282037, 6645.4394853366075, 5500.794550321606, 7493.492320906113, 7206.786508904741, 2686.298332703524, 2538.8761292983, 7253.98778369984], [4241.304996916518, 483.6596378334046, 2763.9580150656075, 1405.7652499741057, 258.3758368726019, 6614.609227113464, 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3716.9948860458167, 3062.662164010396, 4763.191664464988, 7812.697916882337, 7917.498627199334, 8870.650688899828, 5065.742181053909, 2624.806153972363, 2975.0483110771174, 4364.205465054759, 3188.4425422580866, 8720.977081893758, 1459.87953565746, 4572.8264886204215, 2324.1540757260946, 5840.324208567349, 659.1512944086209, 6387.2382456619625, 1706.1961811177118, 4070.0269992801395, 6180.002343467976, 1707.116403493727, 1552.491504085135, 1627.8271363780805, 710.7568621692617, 2873.2219438669295, 6894.1926098992, 345.15307520545105, 3662.3233518062393], [3211.713546228133, 7896.40777964658, 5300.8078149063485, 6851.224397907975, 5696.065461614853, 5114.791911160674, 2564.1730817028897, 935.5405348126611, 5153.847785482536, 4577.349093295708, 669.4749252740984, 6331.618429957198, 9752.5524618502, 4348.913289388088, 5360.501700968088, 1947.5177649733143, 8717.345541701521, 2764.158876222086, 8439.468669204629, 4053.560412732092, 7445.1623077869335, 2681.809445597795, 227.24520795759483, 5796.36709151562, 1742.0265345346274, 8771.734793785536, 7678.398207518567, 5661.038366465821, 3269.4432986394963, 8668.907656759158, 1676.1950842333351, 5480.716778416091], [936.6238554926199, 4417.071383868515, 6954.953579576183, 5108.719616062134, 7182.39821842807, 893.3269681291046, 9329.321095066078, 4580.047117025584, 8767.112017513396, 5860.985413993845, 8199.847852762732, 1222.4269503900243, 6936.2060001009595, 8505.84929950005, 9178.71060254381, 3564.7845125447475, 5204.125789379878, 746.5779862826249, 3612.5357492902167, 8863.338857356202, 3207.8067128192033, 6411.350131694356], [6971.463246366584, 8656.829488481588, 4716.397759444882, 1871.0559596524602, 1400.7186558055407, 7972.157112200225, 2785.2894228904734, 1230.437360694544, 8007.762276598806, 2879.918281682995, 7129.5575876408775, 1804.8918776007638, 9866.87453607941, 8137.058205998907, 9310.146806768604, 8140.789040813295, 6053.202509221739, 1291.6766981885764, 5042.499167167728, 6617.2901410157865, 5184.765799310381, 8442.95630985222, 5949.8689231126455, 5292.165955504016, 2849.4937899043603, 4906.261299495095, 966.3171571506301, 8454.562916281682, 7489.005406107537, 3920.8761213857024, 8798.627174192734, 2997.865499624235, 1711.347679688806, 4027.298254353501, 2665.297130518587, 4207.206327946828, 2414.3945246142307, 4847.717343608347, 1070.5167501685087, 1704.8851914439756, 8171.119375036566, 3723.606800733539, 142.2932030262325, 9127.383634043443, 7118.072266257432], [339.52074175386815, 6222.346927985851, 7378.5920594735, 6483.541708564634, 362.64537232048144, 7138.700983753719, 2240.2956832486807, 2513.294144642031, 5297.54986666968, 7336.701719593464, 8533.030287569201, 5619.9926655639065, 6020.148727640418, 9972.565222705252, 2138.7215246647575], [9334.18747439277, 2305.316444035084, 1496.1818919744728, 2631.664575282966, 1560.644447319053, 8017.229344306232, 6842.526322961845, 2122.802524963182, 1925.0851490635769, 2446.861091468323, 9263.77307980419, 1483.1424881051537, 5287.2562923501, 9035.859888041217, 8023.375373059005, 1509.7451515868177, 5603.488799339734, 6952.921883793975, 2520.825724984489, 4774.46952604118, 3150.932309635256, 9437.021148222304, 5408.13867691267, 9230.165088724967, 7807.315410083818, 5405.386628850249, 1262.2511910367418, 697.3644405937873, 698.5354770211683, 1350.5821712909406, 5683.304986640956, 9411.453890399667, 7917.412705783028, 8454.459445136355, 7206.496995251545, 4184.077101861108, 6457.784133948724, 7829.579341560543, 9782.181419945555, 3072.675129166752], [8633.9400207655, 9053.67914423705, 9081.024953660442, 2853.802978909221, 7098.6377709172775, 6442.001286495734, 5352.453679308428, 6033.86163930825, 5295.367200513826, 2677.067926657917, 7715.416997612096, 3788.755738261852, 9546.352816383147, 2191.2027293058445, 5191.987053619508, 7361.459537716426, 7500.956977764495, 370.7365519990435, 2962.269562256985, 661.6552510251239, 1609.4504154422318, 3988.587061330161, 2398.369174193682, 1708.5280616204134, 2284.260481124326, 1232.8130458617104, 7282.24314102055, 6095.510118039444, 8316.544395798997, 4280.1892659343575, 8407.096352421157, 3773.58249506053, 5866.478536674913, 1059.4976355232154, 4198.072679613927, 4234.325659104923, 5473.390130450675, 2776.1105772896135, 1674.2483340926185, 9810.681965224623, 8123.877611121171, 2880.6804254366057, 611.8050413036724], [2993.2135939667937, 6516.371756368651, 3243.954240688501, 1707.4419839480238, 6117.910093882588, 2728.1465292580765, 6634.197180792388, 4372.280063161229, 9906.755136519236, 5628.301297423993, 4325.8026028396025, 5809.6193319701715, 4537.666496279663, 5195.153570340511, 1449.7797935032452, 5993.770275452789], [4543.424826252607, 8348.648362364054, 804.5165023634681, 1729.8028197600313, 1522.5403036030073, 3062.049396246639, 5614.200983933174, 5394.364801574996, 6082.364911270015, 7322.660128770181, 105.67616713120897, 3780.024680250308, 2043.1384239018603, 1911.4871928662747, 6600.417413983897, 5725.222210135139, 3159.2736284331845, 7911.867143170885, 6910.232736464181, 5082.363943676784, 398.9266438123795, 6600.002726524873, 9718.957727352494, 373.35598181310934, 1769.8440978937858, 1423.7660839786836, 6709.319258322703, 8863.059005113284, 8818.99294307518, 6869.765112779014, 2299.7066087856288], [5904.333165248659, 3737.2540517941134, 3234.8010931379345], [8741.274694147212, 8142.366348649237, 7178.080069844503], [9806.546398158205, 4111.328970709272, 1297.6979885312844, 6671.312196519337, 919.8636669576166, 3674.7691763561584, 9558.015583014578, 179.15421355732875, 6633.7786907057525, 5145.041583744364, 9650.732970966015, 2262.287535355311, 4078.381954659066, 9352.614142347535, 979.6245727881725, 1961.1517367115562, 671.592570513081, 4430.339128069768, 2945.127026543707, 6308.61484052264, 639.7007227096851, 5329.702461652472, 4258.603814362332, 2386.0945919632636, 7582.27847122242, 531.7809464507307, 619.6474357889825, 9850.258845427983, 3376.8188352510665, 1443.5852603295095, 5965.538654258386], [4064.611605775853], [8699.678950267016, 2638.8791938900504, 9864.32576829143, 9545.45934752491], [8967.277929781716, 158.487360223436, 2706.512848604518, 7632.722968650326, 9493.606876017158, 722.3053012762348, 6964.558269251513, 3890.6533336777193, 7324.280695126543, 2114.987955696953, 6493.602831666873, 7861.736242257294, 4577.950198510346, 1258.5279257186965, 8413.280602583125, 9809.221728733319, 9999.85897125298, 2687.9513051743697, 4310.701528942745, 8308.434209993517, 4632.868040691614, 1557.6045146848705, 2024.6772936559332, 4584.237100857744, 1162.3893821891406, 9006.014395722459, 8980.135554758763, 9645.94750029713, 5807.972419276929, 9641.914592343957, 6119.365848988399, 8925.074625708212], [3961.038699627797, 7941.386171416613, 8497.2079090036, 950.7156317300869, 1002.2655576124373], [4770.970512462653, 5751.274214977394, 7374.385304920768, 6583.555487016266, 1354.1896365063787], [9019.53955445245, 6116.076908287135, 8146.602392879152, 72.65131447226403, 1516.6254211993412, 8039.461012121285, 5038.821843934121, 8391.976024847978, 456.503039225048, 2670.191490719758, 3515.763578768253, 1092.421155822273, 6164.620640238656, 545.5694373578046, 4279.737736096799, 495.9879677990009, 4625.2520594959715], [1439.336923533866, 1302.3118323967053, 167.48167583331974, 6295.610633433874, 6721.42085515711, 6293.501666300752, 443.10543686137737, 5790.080920213072, 8246.409203016145, 1090.7269189639735, 3732.488593915935, 2911.804873618257, 9941.921987305477, 3792.731907876411, 4534.224944059517, 1472.278357602025, 5275.2635084540525, 859.5210260889396, 9597.694442577425, 4899.437560961888, 3899.188565008336, 291.1982655390333, 7689.693286997743, 8893.026162327125, 4327.722294090344, 5068.436180974043, 5900.3279123267785, 7465.30143721741, 7167.568894492006, 4383.153760951697, 6514.683704147853, 3810.559736196162, 2522.446986633412, 8028.80881494865, 8593.830034608267, 7739.336291343238, 2193.260515869928, 4073.821932851648, 7770.88670948187, 7663.446075181924, 5361.707839001343, 5038.736484800433, 6054.88382711972, 8169.620671795285, 9367.954744778806, 2939.9653782874825, 9453.300074929695, 2797.1126437886173], [1566.286547919663, 8936.617547502176, 9231.73742747379, 5926.868366854842, 9103.397262654895, 8368.856835536099, 7101.186219987764, 7810.498315791292, 7975.613043686254, 6534.1573199897975, 3221.878461550536, 8047.027853088147, 4308.07219595293], [4698.9398220605735, 1381.493549044479, 2511.354007653047, 1792.9062150709663, 3433.3984663747965, 6310.645731404196, 9282.773595893277, 1436.72903578846, 4255.664980727647, 5442.018955197633, 9070.360569097147, 997.3894557292784, 6111.892651874234, 9341.385608723269, 478.81757295908267, 1351.2651210460015, 1523.9132106506759, 7642.007210066544, 8023.924071903322], [6975.216490755457, 545.726967916269, 7829.418625853173, 285.96897390028687, 1788.3485134839195]],)
        ]
    n_success = 0
    for i, parameters_set in enumerate(param):
        if f_filled(*parameters_set) == f_gold(*parameters_set):
            n_success+=1
    print("#Results: %i, %i" % (n_success, len(param)))